{"id":"https://openalex.org/W3125443969","doi":"https://doi.org/10.1007/s11225-021-09944-3","title":"Cut-free Sequent Calculus and Natural Deduction for the Tetravalent Modal Logic","display_name":"Cut-free Sequent Calculus and Natural Deduction for the Tetravalent Modal Logic","publication_year":2021,"publication_date":"2021-05-30","ids":{"openalex":"https://openalex.org/W3125443969","doi":"https://doi.org/10.1007/s11225-021-09944-3","mag":"3125443969"},"language":"en","primary_location":{"id":"doi:10.1007/s11225-021-09944-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11225-021-09944-3","pdf_url":null,"source":{"id":"https://openalex.org/S30880287","display_name":"Studia Logica","issn_l":"0039-3215","issn":["0039-3215","1572-8730"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studia Logica","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2101.09724","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027425027","display_name":"Mart\u00edn Figallo","orcid":"https://orcid.org/0000-0001-6272-5419"},"institutions":[{"id":"https://openalex.org/I56858762","display_name":"Universidad Nacional del Sur","ror":"https://ror.org/028crwz56","country_code":"AR","type":"education","lineage":["https://openalex.org/I56858762"]},{"id":"https://openalex.org/I4210125789","display_name":"Centro Cient\u00edfico Tecnol\u00f3gico - Bah\u00eda Blanca","ror":"https://ror.org/03efzvv60","country_code":"AR","type":"facility","lineage":["https://openalex.org/I151201029","https://openalex.org/I4210123736","https://openalex.org/I4210125789","https://openalex.org/I4387155568"]}],"countries":["AR"],"is_corresponding":true,"raw_author_name":"Mart\u00edn Figallo","raw_affiliation_strings":["Instituto de Matem\u00e1tica (INMABB), Departamento de Matem\u00e1tica, Universidad Nacional del Sur (UNS) - CONICET, Bah\u00eda Blanca, Argentina"],"affiliations":[{"raw_affiliation_string":"Instituto de Matem\u00e1tica (INMABB), Departamento de Matem\u00e1tica, Universidad Nacional del Sur (UNS) - CONICET, Bah\u00eda Blanca, Argentina","institution_ids":["https://openalex.org/I56858762","https://openalex.org/I4210125789"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5027425027"],"corresponding_institution_ids":["https://openalex.org/I4210125789","https://openalex.org/I56858762"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01755078,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"109","issue":"6","first_page":"1347","last_page":"1373"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/sequent","display_name":"Sequent","score":0.845171332359314},{"id":"https://openalex.org/keywords/sequent-calculus","display_name":"Sequent calculus","score":0.7282189726829529},{"id":"https://openalex.org/keywords/modal-logic","display_name":"Modal logic","score":0.660293698310852},{"id":"https://openalex.org/keywords/natural-deduction","display_name":"Natural deduction","score":0.6586253046989441},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6408112645149231},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.5275527834892273},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.5142697691917419},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.45665112137794495},{"id":"https://openalex.org/keywords/cut-elimination-theorem","display_name":"Cut-elimination theorem","score":0.4394095242023468},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.4347202479839325},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38031136989593506},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3540183901786804},{"id":"https://openalex.org/keywords/proof-calculus","display_name":"Proof calculus","score":0.26969078183174133},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.09325844049453735},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.051146477460861206},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.04669192433357239},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0432853102684021}],"concepts":[{"id":"https://openalex.org/C89421646","wikidata":"https://www.wikidata.org/wiki/Q843632","display_name":"Sequent","level":2,"score":0.845171332359314},{"id":"https://openalex.org/C65880906","wikidata":"https://www.wikidata.org/wiki/Q1771121","display_name":"Sequent calculus","level":3,"score":0.7282189726829529},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.660293698310852},{"id":"https://openalex.org/C62073222","wikidata":"https://www.wikidata.org/wiki/Q1572108","display_name":"Natural deduction","level":2,"score":0.6586253046989441},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6408112645149231},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.5275527834892273},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.5142697691917419},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.45665112137794495},{"id":"https://openalex.org/C111404639","wikidata":"https://www.wikidata.org/wiki/Q376166","display_name":"Cut-elimination theorem","level":4,"score":0.4394095242023468},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.4347202479839325},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38031136989593506},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3540183901786804},{"id":"https://openalex.org/C6489637","wikidata":"https://www.wikidata.org/wiki/Q7250002","display_name":"Proof calculus","level":3,"score":0.26969078183174133},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.09325844049453735},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.051146477460861206},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.04669192433357239},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0432853102684021},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s11225-021-09944-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11225-021-09944-3","pdf_url":null,"source":{"id":"https://openalex.org/S30880287","display_name":"Studia Logica","issn_l":"0039-3215","issn":["0039-3215","1572-8730"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studia Logica","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2101.09724","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2101.09724","pdf_url":"https://arxiv.org/pdf/2101.09724","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:3125443969","is_oa":true,"landing_page_url":"http://arxiv.org/pdf/2101.09724.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.2101.09724","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2101.09724","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2101.09724","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2101.09724","pdf_url":"https://arxiv.org/pdf/2101.09724","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[{"score":0.47999998927116394,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1481398220","https://openalex.org/W1505767531","https://openalex.org/W1874843954","https://openalex.org/W1985861536","https://openalex.org/W1995375207","https://openalex.org/W2037995299","https://openalex.org/W2069762673","https://openalex.org/W2141705425","https://openalex.org/W2150792576","https://openalex.org/W2165781359","https://openalex.org/W2276796001","https://openalex.org/W2758805975","https://openalex.org/W2964277275","https://openalex.org/W4251158426","https://openalex.org/W4251538115","https://openalex.org/W4253656749"],"related_works":["https://openalex.org/W3169375340","https://openalex.org/W1423953440","https://openalex.org/W2090382436","https://openalex.org/W2071180427","https://openalex.org/W2745786137","https://openalex.org/W2003794604","https://openalex.org/W2729565927","https://openalex.org/W2736311032","https://openalex.org/W2247407447","https://openalex.org/W2134901558","https://openalex.org/W3027391326","https://openalex.org/W1485029511","https://openalex.org/W3100785333","https://openalex.org/W2954418918","https://openalex.org/W2005752781","https://openalex.org/W2075419333","https://openalex.org/W2166879872","https://openalex.org/W2801429813","https://openalex.org/W3091630784","https://openalex.org/W2466055390"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-03-21T08:13:44.787528","created_date":"2022-07-25T00:00:00"}
